cosA + secA = 5/2, then the general value of A is ... Share with your friends Share 0 Rishabh Mittal answered this cos A +sec A=52⇒cos A+1cos A=52⇒cos2A+1cos A=52⇒2 cos2A+2=5 cos A⇒2 cos2A-5 cos A+2=0⇒2 cos2A-4 cos A-cos A+2=0⇒2 cos Acos A-2-1cos A-2=0⇒2 cos A-1cos A-2=0⇒cos A=12 , cos A≠2 as -1 ≤cos A≤1⇒so, cos A = 12 = cosπ3⇒A=2nπ±π3, n∈Z 3 View Full Answer